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Finding the Fourth Proportional to 13,243.64, 19,865.32 and 4,009.64

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Solution

The fourth proportional to 13,243.64, 19,865.32 and 4,009.64 is: 6,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.64 : 19,865.32 = 4,009.64 : x
  2. Step 2: Convert to fraction form
    13,243.64/19,865.32 = 4,009.64/x
  3. Step 3: Cross multiply
    13,243.64x = 19,865.32 × 4,009.64
  4. Step 4: Simplify right side
    13,243.64x = 79,652,672.33
  5. Step 5: Solve for x
    x = 79,652,672.33/13,243.64
  6. Step 6: Final answer
    x = 6,014.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.